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2260223130 = 2351122292719
BaseRepresentation
bin1000011010111000…
…0100010010011010
312211112000020020210
42012232010102122
514112104120010
61012140231550
7110003402544
oct20656042232
95745006223
102260223130
11a5a923100
12530b3b5b6
132a0359049
14176276694
15d3665b20
hex86b8449a

2260223130 has 96 divisors (see below), whose sum is σ = 5990745600. Its totient is φ = 545339520.

The previous prime is 2260223129. The next prime is 2260223131. The reversal of 2260223130 is 313220622.

It is an interprime number because it is at equal distance from previous prime (2260223129) and next prime (2260223131).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 2260223097 and 2260223106.

It is not an unprimeable number, because it can be changed into a prime (2260223131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 829911 + ... + 832629.

It is an arithmetic number, because the mean of its divisors is an integer number (62403600).

Almost surely, 22260223130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2260223130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2995372800).

2260223130 is an abundant number, since it is smaller than the sum of its proper divisors (3730522470).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2260223130 is a wasteful number, since it uses less digits than its factorization.

2260223130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2980 (or 2969 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

The square root of 2260223130 is about 47541.8040255100. The cubic root of 2260223130 is about 1312.3523048318.

Adding to 2260223130 its reverse (313220622), we get a palindrome (2573443752).

The spelling of 2260223130 in words is "two billion, two hundred sixty million, two hundred twenty-three thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 110 121 165 229 242 330 363 458 605 687 726 1145 1210 1374 1815 2290 2519 2719 3435 3630 5038 5438 6870 7557 8157 12595 13595 15114 16314 25190 27190 27709 29909 37785 40785 55418 59818 75570 81570 83127 89727 138545 149545 166254 179454 277090 299090 328999 415635 448635 622651 657998 831270 897270 986997 1245302 1644995 1867953 1973994 3113255 3289990 3735906 4934985 6226510 6849161 9339765 9869970 13698322 18679530 20547483 34245805 41094966 68491610 75340771 102737415 150681542 205474830 226022313 376703855 452044626 753407710 1130111565 2260223130